A strong limit theorem for functions of continuous random variables and an extension of the Shannon-McMillan theorem

DOI10.1155/2008/639145zbMath1145.60309DBLPjournals/jam/LiCF08OpenAlexW1987295060WikidataQ58645964 ScholiaQ58645964MaRDI QIDQ937492

Shuang Chen, San Ying Feng, Gao Rong Li

Publication date: 15 August 2008

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54510

zbMATH Keywords

Laplace transformlikelihood ratiomoment generating functions

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Strong limit theorems (60F15) Information theory (general) (94A15)

Related Items (1)

Strong deviation theorems for functionals of the nonnegative continuous random variables

Cites Work

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• A Mathematical Theory of Communication
• Relative entropy densities and a class of limit theorems of the sequence of m-valued random variables
• The strong ergodic theorem for densities: Generalized Shannon-McMillan- Breiman theorem
• A sandwich proof of the Shannon-McMillan-Breiman theorem
• Some limit properties for Markov chains indexed by a homogeneous tree.
• A simple proof of the Moy-Perez generalization of the Shannon-McMillan theorem
• A strong limit theorem expressed by inequalities for the sequences of absolutely continuous random variables
• A strong limit theorem on gambling systems
• The Markov approximation of the sequences of \(N\)-valued random variables and a class of small deviation theorems.
• An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains
• A counterexample to Perez's generalization of the Shannon-McMillan theorem
• A Note on the Ergodic Theorem of Information Theory
• The Basic Theorems of Information Theory

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